求曲线的切线方程的几个误区

学完导数的几何意义之后，大部分学生都能快捷地求出曲线的切线方程，但是也还存在着一些误区．     

High-performance lens antenna using high refractive index metamaterials

In this paper, a high refractive index metamaterial(HRM), whose element is composed of bilayer square patch(BSP)spaced by a dielectric plate, is proposed. By reducing the thickness of the dielectric plate and the gap between adjacent patches, the BSP can effectively enhance capacitive coupling and simultaneously suppress diamagnetic response, which significantly increases the refractive index of the proposed metamaterial. Furthermore, the high refractive index region is far away from the resonant region of the metamaterial, resulting in broadband. Based on these characteristics of BSP, a gradient refractive index(GRIN) lens with thin thickness(0.34λ_0, where λ_0 is the wavelength at 5.75 GHz) is designed.By using this lens, we then design a circularly polarized horn antenna with high performance. The measurement results show that the 3-d B axial ratio bandwidth is 34.8%(4.75 GHz～ 6.75 GHz) and the antenna gain in this frequency range is increased by an average value of 3.4 dB. The proposed method opens up a new avenue to design high-performance antenna.     

用构造法巧求根式函数最值

根式函数的最值问题具有灵活性强、解题方法巧、应用知识面广等特点,能考查学生的观察、类比(特别是形式结构的类比)、联想、转化、创新等多种能力,所以一直是高考和竞赛的热点问题.本文介绍构造斜率、向量、线性规划、距离、对偶式求解这类问题的方法,供大家参考.1.构造线段斜     

用构造法巧求根式函数最值

根式函数的最值问题具有灵活性强、饵题方法巧、应用知识面广等特点，能考查学生的观察、类比（特别是形式结构的类比）、联想、转化、创新等多种能力．所以一直是高考和竞赛的热点问题．本文介绍构造斜率、向量、线性规划、距离、对偶式求解这类问题的方法，供大家参考．     

凹形色散分布光纤中超连续谱特性分析

比较了在不同色散分布的色散渐减光纤中超连续（SC）谱的产生。结果表明,当光纤的色散值关于中心波长对称、且随着传输距离增加,经由反常色散区过渡到正常色散区的、凹形色散分布的色散渐减光纤更有利于产生平坦、带宽的超连续谱。从频域的全场方程出发,模拟了脉冲在光纤中的传输情形,发现脉冲在凹形色散分布的光纤中传输时,不仅在反常色散区能更大程度被压缩,在正常色散区由于存在零色散波长点,还能更进一步展宽,从而得到更宽、更平坦的超连续谱。在谱强为-27dB时,谱宽可达到298nm,比相同情况下的凸形色散的光纤中超连续谱增宽97nm。结果显示,凹形色散分布的光纤比凸形色散分布的光纤在超连续谱的产生上有更明显的优势,可以得到更宽的超连续谱。     

Supercontinuum spectra generation in the single-mode optical fibre with concave dispersion profile

In this paper, a new method is proposed to generate broad supercontinuum (SC) spectra in the single-mode optical fibre with concave dispersion profile. We numerically simulate pulse evolutions and discuss physics mechanism in detail for SC spectrum generation in the optical fibre with concave dispersion profile. Furthermore, general criteria are presented for specifying the shape of SC spectrum by introducing normalized parameters, which are related to the fibres and the initial pump pulses. The results show that the flat and broad SC spectra are indeed generated in our proposed optical fibre.